Self-focusing in the damped nonlinear Schrodinger equation

被引：90

作者：

Fibich, G ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2001年 / 61卷 / 05期

关键词：

damping; absorption; singularity; collapse; blowup; modulation theory; critical power;

D O I：

10.1137/S0036139999362609

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the effect of damping ( absorption) on critical self-focusing. We identify a threshold value delta (th) for the damping parameter delta such that when delta > delta (th) damping arrests blowup. When delta < <delta>(th), the solution blows up at the same asymptotic rate as the undamped nonlinear Schrodinger equation.

引用

页码：1680 / 1705

页数：26

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